Minimization of imaging gradient effects in diffusion tensor imaging

IEEE Transactions on Medical Imaging

Volumn 30, Issue 3, 2011, Pages 642-654

  Ozcan, Alpay ^a  

^a WASHINGTON UNIVERSITY   (United States)

Author keywords

Diffusion tensor imaging (DTI); imaging gradients; optimization

Indexed keywords

DIFFUSION GRADIENTS; DIFFUSION TENSOR IMAGING; ESTIMATION EQUATIONS; ESTIMATION PERFORMANCE; EX-VIVO; GRADIENT EFFECT; HARD CONSTRAINTS; IMAGING GRADIENTS; ISOTROPIC SAMPLES; LINEAR-ALGEBRAIC; NORMED SPACES; OPTIMIZATION CRITERIA; OPTIMIZATION GOALS;

DIFFUSION; MAGNETIC RESONANCE IMAGING; OPTIMIZATION; VECTOR SPACES;

TENSORS;

ALGORITHM; ANIMAL; ARTICLE; ARTIFACT; BABOON; BRAIN; COMPUTER ASSISTED DIAGNOSIS; DIFFUSION WEIGHTED IMAGING; HISTOLOGY; IMAGE ENHANCEMENT; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; ANIMALS; ARTIFACTS; BRAIN; DIFFUSION MAGNETIC RESONANCE IMAGING; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; PAPIO; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 79952159284     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2010.2090539     Document Type: Article

References (36)

1. S.-K. Song, S.-W. Sun, M. J. Ramsbottom, C. Chang, J. Russell, and A. H. Cross, "Dysmyelination revealed through MRI as increased radial (but unchanged axial) diffusion of water," NeuroImage, vol. 17, no. 3, pp. 1429-1436, Nov. 2002. (Pubitemid 35333862)
2. M. D. Budde, J. H. Kim, H.-F. Liang, R. E. Schmidt, J. H. Russell, A. H. Cross, and S.-K. Song, "Toward accurate diagnosis of white matter pathology using diffusion tensor imaging," Magn. Reson. Med., vol. 57, no. 4, pp. 688-695, Apr. 2007. (Pubitemid 46731794)
3. J. Xu, P. A. Humphrey, A. S. Kibel, A. Z. Snyder, V. R. Narra, J. J. Ackerman, and S.-K. Song, "Magnetic resonance diffusion characteristics of histologically defined prostate cancer in humans," Magn. Reson. Med., vol. 61, no. 4, pp. 842-850, Apr. 2009.
4. M. Mielke, N. Kozauer, K. Chan, M. George, J. Toroney, M. Zerrate, K. Bandeen-Roche, M.-C. Wang, P. v. Zijl, J. Pekar, S. Mori, C. Lyketso, and M. Albert, "Regionally-specific diffusion tensor imaging in mild cognitive impairment and Alzheimer's disease," NeuroImage, vol. 46, no. 1, pp. 47-55, May 2009.
5. J. H. Kim, D. N. Loy, H.-F. Liang, K. Trinkaus, R. E. Schmidt, and S.-K. Song, "Noninvasive diffusion tensor imaging of evolving white matter pathology in a mouse model of acute spinal cord injury," Magn. Reson. Med., vol. 58, no. 2, pp. 253-260, Aug. 2007. (Pubitemid 47267642)
6. T. E. Conturo, N. F. Lori, T. S. Cull, E. Akbudak, A. Z. Snyder, J. S. Shimony, R. C. McKinstry, H. Burton, and M. E. Raichle, "Tracking neuronal fiber pathways in the living human brain," PNAS, vol. 96, no. 18, pp. 10422-10427, Aug. 1999. (Pubitemid 29422574)
7. R. Xue, P. C. van Zijl, B. J. Crain, M. Solaiyappan, and S. Mori, "In vivo three-dimensional reconstruction of rat brain axonal projections by diffusion tensor imaging," Magn. Reson. Med., vol. 42, no. 6, pp. 1123-1127, 1999.
8. S. Mori and P. C. M. van Zijl, "Fiber tracking: Principles and strategies-A technical review," NMR Biomed., vol. 15, no. 7-8, pp. 468-480, Nov. 2002. (Pubitemid 36054510)
9. H. Torrey, "Bloch equations with diffusion terms," Phys. Rev., vol. 104, no. 3, pp. 563-565, Nov. 1956.
10. E. O. Stejskal and J. Tanner, "Spin diffusion measurements: Spin echoes in the presence of a time-dependent field," J. Chem. Phys., vol. 42, no. 1, pp. 288-292, Jan. 1965.
11. P. J. Basser, J. Matiello, and D. LeBihan, "Estimation of the effective self-diffusion tensor from the NMR spin echo," J. Magn. Reson. Series B, vol. 103, no. 3, pp. 247-254, 1994.
12. J. Matiello, P. J. Basser, and D. LeBihan, "Analytical expressions for the B matrix in NMR diffusion imaging and spectroscopy," J. Magn. Reson. Series A, vol. 108, no. 2, pp. 131-141, 1994.
13. N. A. Papadakis, D. C. Xing, L.-H. Huang, L. D. Hall, and T. A. Carpenter, "A comparative study of acquisition schemes for diffusion tensor imaging using MRI," J. Magn. Reson., vol. 137, no. 1, pp. 67-82, 1999. (Pubitemid 129608227)
14. A.Özcan, "Characterization of imaging gradients in diffusion tensor imaging," J. Magn. Reson., vol. 207, no. 1, pp. 24-33, Nov. 2010.
15. A.Özcan, "Theoretical and experimental analysis of imaging gradients in DTI," in Proc. 31st Annu. Int. Conf. IEEE EMB Soc., Minneapolis, MN, Sep. 2009, pp. 2703-2706.
16. A. Özcan, "Mathematical necessary conditions for the selection of gradient vectors in DTI," J. Magn. Reson., vol. 172, no. 2, pp. 238-241, Feb. 2005. (Pubitemid 40072529)
17. A. Özcan, "Noise, nonlinear estimation and gradient vector selection in DTI," Magn. Reson. Imag., vol. 28, no. 9, pp. 1335-1343, Nov. 2010.
18. R. Rathore, "Necessary and sufficient conditions for the admissibility of DTI gradient vectors," in Proc. Int. Soc. Mag. Reson. Med., Berlin, Germany, May 2007, vol. 15, pp. 1509-1509.
19. A. Özcan, "Decoupling of imaging and diffusion gradients in DTI," in Proc. 31st Annu. Int. Conf. IEEE EMB Soc., Minneapolis, MN, Sep. 2009, pp. 2707-2710.
20. B. A. Landman, J. A. Farrell, C. K. Jones, S. A. Smith, J. L. Prince, and S. Mori, "Effects of diffusion weighting schemes on the reproducibility of DTI-derived fractional anisotropy, mean diffusivity, and principal eigenvector measurements at 1.5T," NeuroImage, vol. 36, no. 4, pp. 1123-1138, Jul. 2007. (Pubitemid 47001722)
21. D. Xing, N. G. Papadakis, C. L.-H. Huang, V. M. Lee, T. A. Carpenter, and L. D. Hall, "Optimised diffusion-weighting for measurement of apparent diffusion coefficient (ADC) in human brain," Magn. Reson. Imag., vol. 15, no. 7, pp. 771-784, 1997. (Pubitemid 27398248)
22. M. E. Bastin, P. A. Armitage, and I. Marshall, "A theoretical study of the effect of experimental noise on the measurement of anisotropy in diffusion imaging," Magn. Reson. Imag., vol. 16, no. 7, pp. 773-785, 1998. (Pubitemid 28496574)
23. P. A. Armitage and M. E. Bastin, "Utilizing the diffusion-to-noise ratio to optimize magnetic resonance diffusion tensor acquisition strategies for improving measurements of diffusion anisotropy," Magn. Reson. Med., vol. 45, no. 6, pp. 1056-1065, 2001.
24. P. B. Kingsley and W. G. Monahan, "Selection of the optimum b factor for diffusion-weighted magnetic resonance imaging assesment of ischemic stroke," Magn. Reson. Med., vol. 51, no. 5, pp. 996-1001, 2004. (Pubitemid 38580612)
25. D. C. Alexander and G. J. Barker, "Optimal imaging parameters for fiber-orientation estimation in diffusion MRI," Neuroimage, vol. 27, no. 2, pp. 357-367, 2005. (Pubitemid 41074837)
26. G. W. Stewart and J. Sun, Matrix Perturbation Theory, First ed.: Academic Press, 1990.
27. J. Gallier, Geometric Methods and Applications: For Computer Science and Engineering, 1st ed. New York: Springer Verlag, 2000.
28. C. D. Kroenke, G. L. Bretthorst, T. E. Inder, and J. J. Neil, "DiffusionMRimaging characteristics of the developing primate brain," NeuroImage, vol. 25, no. 4, pp. 1205-1213, May 2005. (Pubitemid 40591661)
29. S. Skare, M. Hedehus, M. E. Moseley, and T.-Q. Li, "Condition number as a measure of noise performance of diffusion tensor data acquisition schemes with MRI," J. Magn. Reson., vol. 147, no. 2, pp. 340-352, 2000.
30. T. E. Conturo, R. C. McKinstry, E. Akbudak, and B. H. Robinson, "Encoding of anisotropic diffusion with tetrahedral gradients: A general mathematical diffusion formalism and experimental results," Magn. Reson. Med., vol. 35, no. 3, pp. 399-412, 1996. (Pubitemid 26072113)
31. K. M. Hasan, D. L. Parker, and A. L. Alexander, "Comparison of gradient encoding schemes for diffusion-tensor MRI," J. Magn. Reson. Imag., vol. 13, no. 5, pp. 769-780, 2001. (Pubitemid 32381856)
32. N. A. Papadakis, C. D. Murrils, L. D. C. Hall, L.-H. Huang, and T. A. Carpenter, "Minimal gradient encoding for robust estimation of diffusion anisotropy," Magn. Reson. Imag., vol. 18, no. 6, pp. 671-679, 2000.
33. G. H. Golub and C. F. V. Loan, Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press, 1996.
34. J. Dubois, C. Poupon, F. Lethimonnier, and D. L. Bihan, "Optimized diffusion gradient orientation schemes for corrupted clinical DTI data sets," Magn. Reson. Mater. Phys., Biolo. Med., vol. 19, no. 3, pp. 134-143, 2006. (Pubitemid 44221469)
35. P. A. Cook, M. Symms, P. A. Boulby, and D. C. Alexander, "Optimal acquisition orders of diffusion-weighted MRI measurements," J. Magn. Resona. Imag., vol. 25, no. 5, pp. 1051-1058, May 2007. (Pubitemid 46697577)
36. E. O. Stejskal, "Use of spin echoes in a pulsed magnetic-field gradient to study anisotropic restricted diffusion and flow," J. Chem. Phys., vol. 43, no. 10, pp. 3597-3603, Nov. 1965.